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47704140 = 22345112677
BaseRepresentation
bin1011010111111…
…0100001001100
310022202121210000
42311332201030
544203013030
64422244300
71116323061
oct265764114
9108677700
1047704140
1124a22910
1213b86690
139b63403
14649ac68
1542c4860
hex2d7e84c

47704140 has 120 divisors (see below), whose sum is σ = 163315152. Its totient is φ = 11560320.

The previous prime is 47704127. The next prime is 47704147. The reversal of 47704140 is 4140774.

47704140 = T228 + T229 + ... + T667.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (47704147) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16482 + ... + 19158.

Almost surely, 247704140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47704140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81657576).

47704140 is an abundant number, since it is smaller than the sum of its proper divisors (115611012).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

47704140 is a wasteful number, since it uses less digits than its factorization.

47704140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2709 (or 2698 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 47704140 is about 6906.8183702773. The cubic root of 47704140 is about 362.6758940276.

The spelling of 47704140 in words is "forty-seven million, seven hundred four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 270 297 324 330 396 405 495 540 594 660 810 891 990 1188 1485 1620 1782 1980 2677 2970 3564 4455 5354 5940 8031 8910 10708 13385 16062 17820 24093 26770 29447 32124 40155 48186 53540 58894 72279 80310 88341 96372 117788 120465 144558 147235 160620 176682 216837 240930 265023 289116 294470 353364 361395 433674 441705 481860 530046 588940 722790 795069 867348 883410 1060092 1084185 1325115 1445580 1590138 1766820 2168370 2385207 2650230 3180276 3975345 4336740 4770414 5300460 7950690 9540828 11926035 15901380 23852070 47704140